Explicație pas cu pas:
[tex]\frac{a}{b} = 1,5 \\ [/tex]
[tex]\frac{4a + 3b}{5a - 2b} = \frac{ \frac{1}{b} \cdot (4a + 3b)}{ \frac{1}{b} \cdot (5a - 2b)} = \frac{ \frac{4a}{b} + 3}{ \frac{5a}{b} - 2} = \\ = \frac{4 \cdot 1,5 + 3}{5 \cdot 1,5 - 2} = \frac{6 + 3}{7,5 - 2} = \frac{9}{5,5} = \frac{18}{11}[/tex]
sau:
a = 1,5b
[tex]\frac{4a + 3b}{5a - 2b} = \frac{4 \cdot 1,5b + 3b}{5 \cdot 1,5b - 2b} = \frac{6b + 3b}{7,5b - 2b} = \frac{9b}{5,5b} = \frac{9}{5,5}\\[/tex]
